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Combined Gas Law The combined gas law combines Boyles Law and Charles Law

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Combined Gas Law Boyles Law P 1 V 1 = P 2 V 2 Boyles Law P 1 V 1 = P 2 V 2 Charles Law Charles Law V 1 = V 2 V 1 = V 2 T 1 T 2 T 1 T 2 Combined Gas Law Combined Gas Law P 1 V 1 = P 2 V 2 T 1 T 2 T 1 T 2

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Combined Gas Law For example: If I initially have a gas at a pressure of 12 atm, a volume of 23 L and a temperature of 200 K, then I raise the pressure to 14 atm and increase the temperature to 300 K, what is the new volume of the gas? For example: If I initially have a gas at a pressure of 12 atm, a volume of 23 L and a temperature of 200 K, then I raise the pressure to 14 atm and increase the temperature to 300 K, what is the new volume of the gas?

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Combined Gas Law Begin by converting to Kelvin. It is not necessary in this problem. Begin by converting to Kelvin. It is not necessary in this problem.

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Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = P 1 = V 1 = V 1 = T 1 = T 1 = P 2 = P 2 = V 2 = V 2 = T 2 = T 2 =

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Combined Gas Laws Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = V 1 = T 1 = T 1 = P 2 = P 2 = V 2 = V 2 = T 2 = T 2 =

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Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = T 1 = P 2 = P 2 = V 2 = V 2 = T 2 = T 2 =

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Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = 200K T 1 = 200K P 2 = P 2 = V 2 = V 2 = T 2 = T 2 =

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Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = 200K T 1 = 200K P 2 = 14 atm P 2 = 14 atm V 2 = V 2 = T 2 = T 2 =

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Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = 200K T 1 = 200K P 2 = 14 atm P 2 = 14 atm V 2 = x V 2 = x T 2 = T 2 =

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Combined Gas Law Next, write down the information you know and want to know. Next, write down the information you know and want to know. P 1 = 12 atm P 1 = 12 atm V 1 = 23 L V 1 = 23 L T 1 = 200 K T 1 = 200 K P 2 = 14 atm P 2 = 14 atm V 2 = x V 2 = x T 2 = 300 K T 2 = 300 K

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Combined Gas Law Now plug in the information you have... Now plug in the information you have... P 1 V 1 = P 2 V 2 T 1 T 2 T 1 T 2 12atm(23L) = 14 atm (x) 200K 300K 200K 300K

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Combined Gas Law Cross multiply to solve for x Cross multiply to solve for x 12atm(23 L)(300K) = 200 K (14L)(x) 12atm(23 L)(300K) = 200 K (14L)(x) = 2800x = 2800x x = Liters x = Liters

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